{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this example, we compare Scrublet predictions to \"ground truth\" doublet calls made by Demuxlet, a method that uses genotype information to demultiplex data and identify doublets. We also test two different methods of data normalization (upstream of Scrublet) to see which produces better doublet predictions.  \n",
    "\n",
    "For more information on Demuxlet, see the paper:  \n",
    "Kang, H. M. et al. Multiplexed droplet single-cell RNA-sequencing using natural genetic variation. Nat. Biotechnol. (2017). [doi:10.1038/nbt.4042](https://www.nature.com/articles/nbt.4042)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import scrublet as scr\n",
    "import scipy.io\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import os\n",
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.rcParams['font.family'] = 'sans-serif'\n",
    "plt.rcParams['font.sans-serif'] = 'Arial'\n",
    "plt.rc('font', size=14)\n",
    "plt.rcParams['pdf.fonttype'] = 42"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Download and uncompress data  \n",
    " Download raw data from this link:\n",
    "https://kleintools.hms.harvard.edu/tools/scrublet/data/demuxlet_PBMCs.tar.gz\n",
    "\n",
    "Or use wget:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "--2018-10-04 11:18:15--  https://kleintools.hms.harvard.edu/tools/scrublet/data/demuxlet_PBMCs.tar.gz\n",
      "Resolving kleintools.hms.harvard.edu (kleintools.hms.harvard.edu)... 134.174.150.16\n",
      "Connecting to kleintools.hms.harvard.edu (kleintools.hms.harvard.edu)|134.174.150.16|:443... connected.\n",
      "HTTP request sent, awaiting response... 200 OK\n",
      "Length: 19294450 (18M) [application/x-tar]\n",
      "Saving to: ‘demuxlet_PBMCs.tar.gz’\n",
      "\n",
      "demuxlet_PBMCs.tar. 100%[===================>]  18.40M  17.8MB/s    in 1.0s    \n",
      "\n",
      "2018-10-04 11:18:16 (17.8 MB/s) - ‘demuxlet_PBMCs.tar.gz’ saved [19294450/19294450]\n",
      "\n"
     ]
    }
   ],
   "source": [
    "!wget https://kleintools.hms.harvard.edu/tools/scrublet/data/demuxlet_PBMCs.tar.gz\n",
    "!tar xfz demuxlet_PBMCs.tar.gz"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Load counts matrix, gene list, and demuxlet calls"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "data_dir = './demuxlet_PBMCs/'\n",
    "counts_matrix = scipy.sparse.load_npz(data_dir + 'GSM2560248_matrix.npz')\n",
    "genes = np.array(scr.load_genes(data_dir + 'GSM2560248_genes.tsv', column=1))\n",
    "\n",
    "demuxlet_table = pd.read_table(data_dir + 'demuxlet_calls.tsv')\n",
    "demuxlet_calls = np.array(demuxlet_table['Call']) == 'DBL'\n",
    "naive_doublet_rate = demuxlet_calls.sum() / float(len(demuxlet_calls))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The data are from 8 individuals. Therefore, only 7/8 of doublets are detected, so the expected doublet rate is `naive_doublet_rate*8/7`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "expected doublet rate: 12.2%\n"
     ]
    }
   ],
   "source": [
    "expected_doublet_rate = naive_doublet_rate * 8 / 7\n",
    "print('expected doublet rate: {:.1f}%'.format(expected_doublet_rate*100))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Calculate doublet scores\n",
    "We'll compare z-score standardization to log transformation.  \n",
    "\n",
    "  \n",
    "*First, using z-score (mean centering and variance normalization):*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Preprocessing...\n",
      "Simulating doublets...\n",
      "Embedding transcriptomes using PCA...\n",
      "Calculating doublet scores...\n",
      "Automatically set threshold at doublet score = 0.22\n",
      "Detected doublet rate = 14.8%\n",
      "Estimated detectable doublet fraction = 70.3%\n",
      "Overall doublet rate:\n",
      "\tExpected   = 12.2%\n",
      "\tEstimated  = 21.1%\n",
      "Elapsed time: 15.6 seconds\n"
     ]
    }
   ],
   "source": [
    "scrub_z = scr.Scrublet(counts_matrix, expected_doublet_rate=expected_doublet_rate)\n",
    "doublet_scores_z, predicted_doublets_z = scrub_z.scrub_doublets(n_prin_comps=30, \n",
    "                                                                mean_center=True, \n",
    "                                                                normalize_variance=True\n",
    "                                                               )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "*Adjust threshold based on simulated doublets histogram*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Detected doublet rate = 7.8%\n",
      "Estimated detectable doublet fraction = 52.0%\n",
      "Overall doublet rate:\n",
      "\tExpected   = 12.2%\n",
      "\tEstimated  = 15.0%\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x216 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "predicted_doublets_z = scrub_z.call_doublets(threshold=0.33)\n",
    "scrub_z.plot_histogram();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "*Repeat using log transformation with no z-scoring:*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Preprocessing...\n",
      "Simulating doublets...\n",
      "Embedding transcriptomes using Truncated SVD...\n",
      "Calculating doublet scores...\n",
      "Automatically set threshold at doublet score = 0.08\n",
      "Detected doublet rate = 19.0%\n",
      "Estimated detectable doublet fraction = 95.8%\n",
      "Overall doublet rate:\n",
      "\tExpected   = 12.2%\n",
      "\tEstimated  = 19.8%\n",
      "Elapsed time: 12.4 seconds\n"
     ]
    }
   ],
   "source": [
    "scrub_log = scr.Scrublet(counts_matrix, expected_doublet_rate=expected_doublet_rate)\n",
    "doublet_scores_log, predicted_doublets_log = scrub_log.scrub_doublets(n_prin_comps=30, \n",
    "                                                                      mean_center=False, \n",
    "                                                                      normalize_variance=False,\n",
    "                                                                      log_transform=True\n",
    "                                                                     )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "*For the log-transformed version, the simulated doublet score histogram is less bimodal. Set the threshold to cut off the left tail.*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Detected doublet rate = 13.2%\n",
      "Estimated detectable doublet fraction = 89.6%\n",
      "Overall doublet rate:\n",
      "\tExpected   = 12.2%\n",
      "\tEstimated  = 14.7%\n"
     ]
    },
    {
     "data": {
      "image/png": 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u6T9BSrzFJ5dEuq1UeRT8H6RHDZXHH0fhyaHS8Sw/hfSlvL8W5+UcXJpnDPDHvJ6j8rC1SY9OP5K393bggGrr6u8Y9xXrQMeTVJA9Ose7OB/P84H1231+uau9IxUGirloIek/sE+y7FN4y5w3g/1t5d/NiaQctZhUc/B6Us3hfnmanVn2SZq1coxzc3x/yefa2fn3X1n2m0k5ajGwUx62CempqsdI//n/FTioFOMK+bc8O8/7G5Y+Yl71Meo874H5HFhCegJxz2LseZo3ki7+FubuOuAtpeW8Kp9jT+Vz6TvAASz/FNKtpIuIB/L2/LIYY3nf1bEPltl3vX5+V5K0mQ2S0su27iUVPH7Y3mjMzIYHt4ExMzOzruMCjJmZmXUd30IyMzOzruMaGDMzM+s6LsCYmZlZ1xmW74FZe+21Y+ONN253GEMyc+ZMtt6636+vm7XVzJkz50bEmIGn7A7OG2bNV0/eGJZtYMaPHx8zZsxodxhDIonheOyse0iaGRHj2x1HozhvmDVfPXljWN1CkjRB0qT58+e3OxQzMzMbgmFVgImIqRExcfToej8camZmZp1kWBVgzMzMrDe4AGNmZmZdZ1g9hSRpAjBh7NixNU1//PHHL9N/7LHHNiEqM7Phrdm51rm8Nw2rGhi3gTEzM+sNw6oAY2ZmZr3BBRgzMzPrOi7AmJmZWddxAcbMzMy6zrB6CsnMzHpf+akj603DqgbGnxIwMzPrDT1TAyNpd+BDEfHxatNExFRg6vjx4w9oXWRm1mkkvRY4E9gOeAw4MyJObm9UNliucRmeeqIGRtLJwDcBtTsWM+tskl4C/AqYDbwROBg4RtI+bQ3MzOrSEwUY4A/AQe0Owsy6witJOePgiLgnIq4ErgXe2t6wzKwePVGAiYhLgGh3HGbW+SJiVkTsFRGLlbwZeAtwXbtjM7Pa9UwbGDOzQbgfeAVwJXBpm2Mxszr0RA2MmdkgvT93bwK+3eZYzKwOHVcDI2kUMBM4NCKuLQw7A9gTeBo4NSJOal+UZtYLImIGgKSVgSmSjoyIZyrjJU0EJgJsuOGG7QnSGs5fp+4NHVUDI2kl4EJgi9Kok4EdgF2AA4GjJe1dnCAipkXEx1oSqJl1LUmvlPS+0uA7gJHA6sWBETEpIsZHxPgxY8a0LEYzG1jHFGAkjQNuBTYtDV8FOIBUIzMzIi4HTgIOaX2UZtYDNgd+LmmdwrCtgTkRMbdNMZlZnTqmAAPsBFwNbF8aviUwCpheGDYd2EZSzbfAJE2UNEPSjDlz5gw5WDPrWjeSalwmS9pc0ntJ75H6WnvDMrN61FQAkPTGiLitmYFExPcL6yuOWg+YFxFLCsMeIVX3jgEeqnH5k4BJAOPHj/cj12ZdqBG5KCKezYWWM4HfAwuB04DTGxCi9QC3kekOtdZg/E7SLFL7lIsi4h/NC2k5K5Ma7hZV+kfVsyBJE4AJY8eObURcZtZ6DclFETEbKLeDMbMuUmsBZh3gA8CHgS9L+ispgVwcEfc3K7hsCcsXVCr9i5q8bjPrLO3MRdYh/O0jgxrbwETEwog4JyLeC7ycpR9Bu0vSjZIOlLR6/0sZtAeANSWNLAxbl1QLM6+eBUXE1IiYOHr06EbGZ2Yt0uZcZGYdZDCNeF9NasX/OuAF4D7S1dB/yo82N8htwDOkx6grdgRmRsRz9SxI0gRJk+bPn9/I+MysPVqdi8ysg9RUgJE0XtJJkv4N3AS8BjgWWCciPhYR7yC14v9uowOMiEXAFOAsSdvm9zccySAa3LkGxqy7tTMXmVlnqbUNzK3ANNJjhpdGRF9VGLcCP2tQXGWHA2cD1wMLgBMi4uImrcvMOle7c5GZdYhaCzAfJyWLZ4sD8yv+3x0Rl0fEjaT3KwxZRKjUvwjYN3eD5qeQzLpeS3ORmXWufm8hSVpB0orAecDLcv+LHfAG4KJWBNoIvoVk1p16LReZ2dBVLcBIOhB4jtSAVqSngZ4tdZXq3K7gRrxm3acXc5GZDV3VW0gR8X1Jd5IKOdcDe7DsY8sBPAn8takRNlBETAWmjh8//oDBzO+3M5q1Xi/mIusuzv2dqd82MBHxWwBJmwCzI8Kv4DezlnMuMrOyqgUYSecAB0fEQuCreVif00bEJ5oSnZkNe85FZtaX/mpgnq/yd9fyU0hmXanncpGZDV1/bWA+2dff3WyobWDMrPV6MRdZffztI+tLrW/iXVnS1yRtpuTHkp7K3x5Zv9lBmpmBc5GZLVXrt5DOJH0BVsBewN7AROAx/MpuM2sd5yIzA2p/E+/7gV0i4i5JXwWuiojzJc0AZjQvvMZyGxizrtcTucjMhq7WGpgRwAJJLwF2BX6Vh78UeLoZgTWD38Rr1vV6IheZ2dDVWgNzM3AKMB8YCfxC0htJ1bnXNik2M7My5yIzA2ovwEwk3V/eEtgrIh6TdCjwMPDZZgXX6fx2RrOWcy4yM6DGAkxE3E+691wcdkxTIjIzq8K5yMwqaq2BQdK7gG2Al5CeAHhRRHylwXGZmfXJucjMoMYCjKRvk6pnbwcWlEZ3zTdJ/BSSWXfrlVxkZkNXaw3MXsABEfGTZgbTbH4Tr1nX64lcZGZDV89j1Dc3M5DBkLSCpO9LukXSDZJe1e6YzKypOjIXmVnr1VqAOQM4TtKqzQxmED4ArBgROwDHACe3OR4za65OzUVm1mK13kLaFdgW+LCkucAzxZERsWGjA6vRm4Ff5ximS7qgTXGYWWsMORdJ2hQ4DdgReAq4GPhyRCxpfLg2GP54o9Wi1gLMD3PXaVYnvdCqQtUmbAW/F8as6YaUiySNBKYCdwA7AOsAP86jjxhydGbWMrW+B2YKpDYnwEbAfcAKEfFMvzM23wJgtUL/8+0KxMyarwG5aFtgLLBtRDwJ3CnpGOBUXIAx6yo1tYGRNELSycAi4J/AhsB5ki6QtEozAxzAzcBuOcYdgT+3MRYza7IG5KK7gffkwktFAKMaH62ZNVOtt5C+CryLdP/5qjzsdOAHpO+SfLoRwUgaBcwEDo2IawvDzgD2JH2s7dSIOCnPchmwq6RbSElo30bEYWYda0i5KCLmUPhmUq7JOQS4qRnB2vDQV5sdNyFovloLMB8B9omImyUFvNhodn/gchpQgJG0EnABsEVp1Mmke9W7AOsD50qaHREXRcQLwIFDXbeZdY1G56JTga1Ib/ZdjqSJpO8vseGG7XpWwcz6UmsBZm3g0T6GP0X6jP2QSBpHKryoNHwV4ABgQkTMBGZKOol0xXTRUNdrZl2nIblIkkhPIn0G2CMi/t7XdBExCZgEMH78eL/pd5D8gIM1Q63vgbkW+GI+6QFC0mjgG8D1DYhjJ+BqYPvS8C1J96anF4ZNB7aRVPN3nCBdSUmaIWnGnDlzhhSsmbXNkHNRvm30Y+Ag0hetL29KpGbWVLUWAg4mtTd5lHSV80tgA+DfwPuGGkREfL/y99K8BMB6wLzS+xkeAUYCY4CH6ljHJEkPARNGjhy59dAiNrM2aUQuOgX4KPDBiLiyGUGaWfPV+hj1A8C2kt4BvDbPdzdwdW6H0iwrkxruFlX6635qwN9CMutuQ81FkrYDDgX+F5ghad3Csh9uTtRm1gx13YaJiOuA65oUS1+WsHxBpdK/qN6Ftfpr1L7va9YcQ8hFe+R/v5G7F0l6SUQ8N9TYzKw1qraBkfSCpOdr6ZoY3wPAmvntmRXrkmph5tW7sIiYGhETR48e3aj4zKzJGpmLIuLIiFCVzoUXsy7SXw3MOwt/vwk4HDgRmAE8m4cdTXoHQ7PcRvrWyQ7AtDxsR2DmYJJNq2tgzKwhOiEXmVmHqVqAyVW0AEg6E/hERFxTmORPkv4F/Ij0LoWGi4hFkqYAZ0naj1T7ciT5vQyDWF5b28D4lpJZ/TohF5lZ56m1Dcwr6fvdC4uAtRoXTp8OB84mPSK5ADghIi5u8jrNrDO1MxeZWQeptQDzS+DHkg4F/kJ64dw2wHeAnzYyoIhQqX8R6RMBQ/5MgG8hNZ9rmazJWpaLzKyz1foiu4mkRxWvJzWefQy4ErgF+GxzQms8N+I163o9kYvMbOhqfQ/MQuCjkj4NvCYPvjsP7xqugTHrbr2Si8xs6GqtgQEgIhZExIzcdV3CcA2MWW/o9lxkZkNXVwHGzMzMrBPU9SZea6xyg9eyTmwAO9RGugNtc1kn7gMzs4H4gYbmG1Y1MJImSJo0f/78dodiZmZmQzCkGpj8Wfr1I2J2g+Jpqna/yK7TtOIKod4al3rn91WNQfflIjMbuqHWwIwB7m1EIGZmQ+BcZDbMDLUNzDzg7Y0IxGwwfJ/ZMucis2FmSAWYiHgWuLFBsTRdt78HZqi3Y8x6VbflIjMbupoLMJLeDnwa2Jz0heg7gVMi4s9Niq3h3Aamf4OpzXChylqtF3KRmQ1dTW1gJO0PXAU8CXwfmJJH/U7S3k2KzcxsGc5FZlZRaw3MCcDEiDinOFDSTcA3gIsaHZhZI7iNTM9xLjIzoPYCzGrAH/sYPh1Yu3HhWJFvzzSeCzRdz7nIzIDaH6M+Hfg/SWtWBkhaGTiOVI1rZtYKzkVmBvRTAyPpPiAqvcArgQcl3Qu8AGwCjAK6puFctz+FVC/XNlgv6MVcZGZD198tpKNbFkWL9NpTSL7F1Hgu9HWknstF3c7niXWCqgWYiJhSHiZpNeDVwIrAPRHxeBNjq4uk3YEPRcTH2x2LmTVOt+UiG5gvvqwRamrEK2kkcApwIClhCHhO0oXAARHxTPNCrCm+k4EJwIx2xtHpnDSs23V6LhquXCNj7VBrI95TgN1IhYQ1gLWA3YEdgK83J7S6/AE4qN1BmFnTdXouMrMWqbUAszfwPxHxm4hYGBFPRMRVwAHAx5oX3lKSPi3ptlL3CoCIuISljfzMrHc1LBdJGiXpb5J2aUqkZtZUtb4HZgVgbh/DHwNWbVw41UXE94DvtWJdZtaxGpKLJK0EXABs0aC4zKzFaq2BuY707oXRlQGS1iC9+fL6ZgRmZtaHIeciSeOAW4FNmxKhmbVErTUwhwE3AA9IuicPGwv8g3T/uW6SRgEzgUMj4trCsDOAPYGngVMj4qTBLN+Gzo1+rQM1IhftBFxNevndU40O0Mxao9YCzGJSVetuwGuBJaQvwF4bEXW3Pemn+vZkUmO8XYD1gXMlzY6IAb9vEhHTgGn1xmLWHz9d0XGGnIsi4sU39kpqRoxm1gK1FmBuB94fEVcAVwxlhbn69gLS44/F4auQGuJNiIiZwExJJwGH4A+0mVnSsFxUC0kTgYkAG264YbNXZ8OIL46GrtY2MEtIr+puhEr17fal4VvmdUwvDJsObCOp1oJWVZImSpohacacOXOGujgza49G5qIBRcSkiBgfEePHjBnTqtWaWQ1qLRj8Grha0q+AWaQk8qKI+EqtK+yn+nY9YF5EFJf9CDASGAM8VOs6qqx3kqSHgAkjR47ceijLMrO2aVguMrPuVmsB5nWkt9yOyV1Ro96/sjKp4W5Rpb8hV1y99i0ks2GoFbnIzLpATQWYiHhbswOh76rhSv+iRqxguH2N2qzXtCgXmVkX6LcNjKR9JP1c0oWS9m5yLA8Aa+ZvnVSsS6qFmdeIFUTE1IiYOHr06IEnNrOO0eJcZGZdoGoBRtIXgcnAS0lvuJwiqZnfGrkNeIb0GHXFjsDMiHiuESuQNEHSpPnz5zdicWbWAs3MRRGhynuozKy79FcDM5H0zZHdImIC8BHgYDXpxQkRsQiYApwlaVtJ7wOOBE5v4DpcA2PWfVqai8ysO/TXBmYD0mu7K64AViE9LfRgk+I5HDib9ErwBcAJEXFxoxbuNjBmXakduciGwG/xtlborwZmBPBspSffxlkMrNSolZerbyNiUUTsGxGrRsQrIuKURq0rL981MGbdp+m5yMy6z5BfEGdmZr3Db4i1bjFQAeYjkhYW+lcE9pS0zKtsI+LHDY+sCXwLyZrBCb8leioXmdnQ9VeAmQ0cWhr2CPDp0rAAuiJp+EV21glc4Klbz+WibuL2LNapqhZgImLjFsZhZtYn56KhcQHEetWwagPjW0hmZtaNXHO7vFq/Rt0T/BSSmZlZbxhWNTBmZs3W6CtlX3mb9c0FGDOzJmp2AWSoy3cbGetXgOP1AAAOHklEQVRWLsCYmQ0jLrBYrxhWBRg34rVu4FsGw0u9x9sFELNkWBVg/B4YM2u3ZhdAXMCx4WJYPYVkZmZmvWFY1cCYmXU616CY1cY1MGZmZtZ1XANjZmbW5YZj4/9hVQMjaYKkSfPnz293KGZmZjYEw6oA408JmJmZ9YauLsBIeqmkSyX9VtLvJG3f7pjMzMys+bq6AAMcAPwtIt4C7Ad8p73hmJmZWSt0eyPenwAv5L9HAM+0MRYzMzNrka4owEj6NPDp0uD3RMSDefw6wLnAYa2OzczMzFqvKwowEfE94Ht9jZP0WuAS4KiIuLGlgZl1gOH4+ORQSRoFnAHsCTwNnBoRJ7U3KjOrR1cUYKqRtBHwC+BjETGj3fGYWdc4GdgB2AVYHzhX0uyIuKi9YZlZrdrSiFfSKEl/k7RLadgkSY9LeljSF2pY1LHAKsC3JE2TdEnTgjazniBpFdIDAIdGxMyIuBw4CTikvZGZWT1aXgMjaSXgAmCL0qi6r4giYv+mBWpmvWpLYBQwvTBsOnCMpBER8Vx7wjJrnV649dzSGhhJ44BbgU1Lw5t+RSRpoqQZkmbMmTOnUYs1s+6zHjAvIpYUhj0CjATGtCckM6tXq2tgdgKuBo4DnioMb/oVUURMAiYBjB8/Poa6PDPrWiuTGu4WVfpHtTgWs67QiTU2imjP/+WSAnhnRFwr6UPA9yNi7cL4zYE7gFdExEMNWucEYAKwF/DPGmZZG5jbiHW3US9sA3g7Okmt27BRRHRcjYakPYGzq+Sbl0fEo4XhE4GJuXcz4O4aVjGcjnGn83Z0llq2o+a80SlPIbXkiigipgJTWZqQ+iVpRkSMb9T626EXtgG8HZ2kB7bhAWBNSSMjovLyy3VJOWdeccJizW2temD/9MQ2gLej0zR6OzrlUwJLWL6gUulf1OJYzKy33UZ6a/cOhWE7AjPdgNese3RKDUzNV0RmZkMREYskTQHOkrQfKdccSY01s2bWGTqlBqZTr4jqqjruUL2wDeDt6CS9sA2HA38Erie95fuEiLi4Qcvuhf3TC9sA3o5O09Dt6IhGvLn/e0Dlq9Lrkr5tNLGBScXMzMx6RKfcQoJ0RXQ26YpoAY29IjIzM7Me0rZbSBGhSu1L7l8UEftGxKoR8YqIOKXR66zncwWStpT0O0mLJM2UtE1p/Icl3ZPHX56/iN10dW7DXvmTDU9Juj0/Rl4Zt4KkxZKi1K3RgdtxdR9x7l4Y35Zjkddd03bkT12UtyEkXZ/Ht/V4FLZlmU989DHNRvl4PCXpTkm7lca/TdJf8rGYJmls8yNvLucN541Gc95oUN6IiGHTAacDfwO2Bt5PqunZu4/pVgEeBL4NbA6cBjwKrJbHbwMsJt3uegNwA/DrDtuGnUjtig4AxgKfA54FtsrjxwIvABuRbtlVOnXSduRp7ye9u6cY56h2H4s6j8dapfjfkY/HhA45HisBPwcC2KXKNCK1V7sQGAccRXpKcJM8fgNgIfCFPP4i4O/ACq06Hm0+xs4bHbIdeVrnjeZvR1vzRksOVid0ObksLu5k4Ghgeh/T7g/8p7ID8wH4J/Cp3H8OcF5h+g3yARzbQdvwQ+DC0rCrgW/mv98HzOqCY7F63rcbV1lWW45FvdtRmk/AH4AfFoa183iMywnm9gES0dvz9q5WGHYtcGL++4TitpPe77Sg2vK6oXPecN5o53aU5nPeKHWd8hRSK1T7XME2ksptgbYDbo6IFwAi7dWbge0L439bmTgi7iMlru1prnq24Qzgq6VhQSoxQ/rx1fJW0WaoZzvGkd4TNLvKstp1LKC+7SjaG3gt8OXCsHYej8onPgbaZ9sBf46IhYVh06l+XiwC/lTDcjuZ84bzRqM5bzQobwynAkw9H3Bbj1QVTGna9Wsc3yw1b0NE3B4Rd1T6JW1Bqn6s/FDGAatJ+q2khyRdJWmz5ob/onqOxTjgCeCiHOcfJL2ntKx2HIvKugfzUcAvkV5l/0hhWNuOR0R8PyK+kBNHfzr1vGgm5w3njUZz3mjQeTGcCjD1fK6g2rSjahzfLIP65EJunHYZcBPwizx4c2BN0oc130+6WrlB0ugGxltNPduxObAqcAXwbuAqYKqk/xpgWa34KF/dx0PSjqSrqDNKo9p5PGrVqedFMzlvOG80mvNGg86LTnqMutnq+VxBtWkX1Ti+Wer+5IKk9UnVfM8De1Sqt0nVfytGxFN5uo8C95FOgnMaHHdZPdtxFPC1iHgi998uaWvgQOD3/SyrFZ+gGMwnMPYCro+I+0vD23k8arUEKCfGWs6Lx5ocVzM5bzhvNJrzRoPyxnCqgXnxcwWFYdU+V/BAHkdp2odqHN8s9WwDkl5FunoKYOeIePEHERFLKj/6Sj9wL/DKJsVeVPN2RMTzhSRUcSdL42zXsaisu+bjke1GarW/jDYfj1p16nnRTM4bzhuN5rzRoPNiOBVg6vlcwa3ADpIEkP/dIQ+vjN+xMrGkDYANC+ObpeZtkLQWcA0wH3hr8b6ppBGSHpC0d2HYqsCrgbuaGH9FPdtxqaSzSvNvxdI423UsoM5PYEhaG9gUuLE0vN3Ho1a3Am+UtEph2I5UPy9WJh2rVhyLZnHeWDqu3b9T541lh7f7eNSqeXmjHY9ftasjffPkDmBb0uNn84G98rh1gZfmv1cnvb/hTFIjqW+TGhVV3uewPUvflfB60tuDr+qwbTg7j3sjy74fYHQe/2PgX6TPN7wOuDwvd0SHbccnSFWMHyWdmMeTHsnbtN3Hop7tyP0751iXe79Bu49HIY5lHockNSpcNf+9Iun9DJcAWwBfBJ4iP6oKbJyPzZfzeXMh6V0X3f4eGOcN5422bEfud96ott5WbmS7O1JjoSnAk6RWz0eUDsB+hf5tSI9yLSE9e791aVn7kh67e5LU0G1MJ20DMDf3l7vz8vhVSA3CHso/psuBDTv0WBwC3JOPxR+Bt3TCsRjEduwFzKmynLYej1LMxUQ0Cziu0D+WdCW4JCelXUvz70a6+ltE+k9h01ZvQ5uPsfNGB2xH7nfeaN32tCVvtO1jjmZmZmaDNZzawJiZmVmPcAHGzMzMuo4LMGZmZtZ1XIAxMzOzruMCjJmZmXUdF2DMzMys67gAM8xJmiUpcveCpCcl3SzpXQ1cx3GSpvczfpqkE2tc1jqS9mpUbGZWP+cN6wQuwBjAEaRPmq8PbAfcDPxS0i5tjapv/wdMaHcQZua8Ye01nL5GbdUtiIiH898PAl+QtB7pVeivb19YfVK7AzAzwHnD2sw1MFbNJOB1ksYCSFpT0iRJj0haIOn8/OE3JO2cq5JfLBBLmizpvMLyRkj6gaRFkv4t6b+rrVjSxDzNk5KmS9omDz+O9PrvfSTNqjLvZ/K8SyT9RdJ7C+M2kXSlpIWS7pf0pcK49SX9VNI8SXMlnSlppTxuP0m35g/EzZf0KSVH54+pzZf0a0mvrn83m/UU5w3njZZxAcaquSP/Oy7/exnpA28TgHcAmwHn1rG8/yJdBb0JOAu4XNJm5YkkTQC+ChxG+iLpr4Dr85Xdt4CfAj8jfXOmPO9WwGl53s2Ai4GfSlpD0ijgauBZ0ofc/od0xbiP0mftrwdWJX04bU/StzlOKcX/T9LH16aSvrPyCeDjedw9wHVKX1I1G66cN5w3WqfVH31y11kd6aNbn+pj+AjSB7r2Ad6Q/968MH6zPGwL0skbFL6ACkxm6QfgjiN9bGxkYfwNwLfy39OAE/PfNwGHlWK5ATimvNw+Yv4A8DTwxty/ArAr6cNp/0362NnowvT7ALuTvga7CFirMO7dwHPAaGC/vH2rFcbfB3yg0C/g38DH231M3blrdue84bzRCZ3bwFg1q+d/FwCbAwsj4s7KyIi4W9LjedzcGpZ3e0Q8U+j/U563bHPg65K+Whg2Cri/hnX8BpgO/FnS34ArgB9FxCJJ44B7ImJ+YRvOB5D0xTxuXmFZt5A+A1+p3n0sIhbm6VclNVw8X9ILhXlWAl5TQ5xmvcp5w3mjZVyAsWrekP/9W+HvshVz19cnzcu/rRdK/SsAz7C8EaSnG64uDX+yaqRZTji7ADsC7wX2AA6RtFOVdVUs6WPYiqV/i9NUtm1vllaZVzwxUJxmPcx5Y9l/nTeayG1grJr9gZkRcS9wF7CapBevfPKVyerA3Sw9yVcvzP+q0vK2kFR8EmBb4E6WdzewQUTcU+lIiWnnPL6vpFeJaXvg6Ii4KSK+SLoqe4R0X/qfwKaSVi9Mf7ykyTmOsZXGhdn2wPOke9TLiIgngEeB9Qox3gt8HdiyWnxmw4DzhvNGy7gAYwCrS1pX0nqSXi/pNNJVwhGQqn2BK4EpkrbJrfunANMj4jbg78Bi4LjcYv9wUkO6ovWBMyVtLukYljbKKzsV+JykfSVtKulYUlK8K49/EthI0iv7mHcx8BVJB0ramHSPegNgJqma+D7gBzmG3YDPkRr7XQv8AzhX0hsk7QycDlwUEY9V2WenAl+VtLvSExdnAe+k7+Rq1oucN5w32qvdjXDctbcjNcaLQvcI6eTcsTTdWsD5pHvbj5Maxa1ZGL8P8B9So7bzgW+ybGO8qcB5pGRxF7BrYd5p5MZ4uf+zpIZtS4DbgN0K47YhvXNiLqA+tmcfUjJYkpfxmcK41wDX5Bj+Q6HRH7AxKdkuIl0lfRtYKY/bD7i/tJ4VgROAB/I8NwPbtvt4unPXis5548Vxzhtt7JR3qpmZmVnX8C0kMzMz6zouwJiZmVnXcQHGzMzMuo4LMGZmZtZ1XIAxMzOzruMCjJmZmXUdF2DMzMys67gAY2ZmZl3HBRgzMzPrOv8PtA6My+e2fl0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 576x216 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "predicted_doublets_log = scrub_log.call_doublets(threshold=0.2)\n",
    "scrub_log.plot_histogram();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Compare the methods"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "doub_scores = {'Scrublet (z-score)': scrub_z.doublet_scores_obs_,\n",
    "               'Scrublet (log)': scrub_log.doublet_scores_obs_\n",
    "              }\n",
    "\n",
    "doub_calls = {'Demuxlet': demuxlet_calls,\n",
    "              'Scrublet (z-score)': scrub_z.predicted_doublets_, \n",
    "              'Scrublet (log)': scrub_log.predicted_doublets_\n",
    "              }"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Compute some metrics to compare predictions to ground truth.  \n",
    "For this dataset, log transformation gives better recall without hurting precision."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Method               Recall\tPrecision\tAUC\n",
      "Scrublet (z-score)   0.472\t0.649\t\t0.874\n",
      "Scrublet (log)       0.792\t0.644\t\t0.930\n"
     ]
    }
   ],
   "source": [
    "from sklearn.metrics import roc_auc_score\n",
    "\n",
    "print('{:20s} Recall\\tPrecision\\tAUC'.format('Method'))\n",
    "for method in doub_scores:\n",
    "    recall = (doub_calls['Demuxlet'] & doub_calls[method]).sum() / doub_calls['Demuxlet'].sum()\n",
    "    precision = (doub_calls['Demuxlet'] & doub_calls[method]).sum() / doub_calls[method].sum()\n",
    "    roc = roc_auc_score(doub_calls['Demuxlet'], doub_scores[method])\n",
    "    print('{:20s} {:.3f}\\t{:.3f}\\t\\t{:.3f}'.format(method, recall, precision, roc))\n",
    "    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Use UMAP to visualize the results, comparing to the Demuxlet \"ground truth\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "scrub_z.set_embedding('UMAP', scr.get_umap(scrub_z.manifold_obs_, n_neighbors=15, min_dist=0.3))\n",
    "scrub_log.set_embedding('UMAP', scr.get_umap(scrub_log.manifold_obs_, n_neighbors=15, min_dist=0.3))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x360 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = scrub_log._embeddings['UMAP'][:,0]\n",
    "y = scrub_log._embeddings['UMAP'][:,1]\n",
    "\n",
    "fig, axs = plt.subplots(1, 3, figsize = (14, 5))\n",
    "for iMethod, method in enumerate(doub_calls):\n",
    "    coldat = doub_calls[method]\n",
    "    o = np.argsort(coldat)\n",
    "\n",
    "    ax = axs[iMethod]\n",
    "    ax.scatter(x[o], y[o], c = coldat[o], cmap=scr.custom_cmap([[.7,.7,.7], [0,0,0]]), s = 2)\n",
    "    ax.set_xticks([]), ax.set_yticks([])\n",
    "    ax.set_title(method)\n",
    "fig.tight_layout()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
